MA 305 Lecture  17 Transparencies

Tuesday, March 19, 2002

Slide 1

Subspace and basis of a subspace (Audio 06:00-14:00)

Slide 2

Checking for linear independence and computing a basis (Audio 14:00-21:30)


Slide 3

Fall 1997 exam question (Audio 21:30-26:30)


 

Slide 4

Example cont.(Audio 26:30-34:00)


 

Slide 5

Bases for R2 (Audio 34:00-42:00)


 

Slide 6

Uniqueness of linear combinations of a basis(Audio 42:00-46:30)


 

Slide 7

Uniqueness cont, coordinates (Audio 46:30-54:30)


 

Slide 8

Change of coordinates example, cartesian to polar coordinates (Audio 54:30-63:00)


 

Slide 9

Algorithm to compute a basis (Audio 63:00-69:00)


 

Slide 10

More facts about vector spaces and bases (Audio 69:00-71:00)


 

Slide 11

Theorem cont. (Audio 71:00-72:00)